Preprint 2003-055

PDE Fluid Modeling of Multithread Systems and Optimal Control

Florian De Vuyst and Pascal Jaisson

Abstract:
We here propose fluid models of a multithread/multitask system. This can be
straighforwardly extended to a network of such components. The leading
equations form a system of hyperbolic equations coupled by a nonlocal term of
current total load. PDEs are also used for the computation of the service
times. A numerical stable and efficient method of discretisation is then
proposed. To illustrate the usefulness of such models, we numerically solve a
problem of optimal control of quality of service (QoS) management and
demonstrate the efficiency of the method.